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DTSTART:20210328T030000
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DTSTAMP:20230327T171351Z
UID:1610712000@ist.ac.at
DTSTART:20210115T130000
DTEND:20210115T150000
DESCRIPTION:Speaker: Antonio Agresti\nhosted by Julian Fischer\nAbstract: C
ritical spaces for non-linear equations are important due to scaling invar
iance\, and in particular this plays a central role in fluid dynamics. In
this talk we introduce and discuss local/global well-posedness\, and blow-
up criteria for stochastic parabolic evolution equations in critical space
s. Our results extend the celebrated theory of PrĂ¼ss\, Wilke and Simonett
for deterministic PDEs. Due to the presence of noise it is unclear that a
stochastic version of the theory is possible\, but as we will show a suit
able variation of the theory remains valid. We will also explain several f
eatures which are new in both the deterministic and stochastic framework.
In particular\, we discuss a new bootstrap method to prove regularization
of solutions to (S)PDEs\, which can also be applied in critical situations
. Our theory is applicable to a large class of semilinear and quasilinear
parabolic problems which includes many of the classical SPDEs. During the
talk we give applications to stochastic reaction-diffusion equations and s
tochastic Navier-Stokes equations with gradient noise.This is a joint work
with Mark Veraar (TU Delft).
LOCATION:online via Zoom\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Antonio Agresti: Stochastic PDEs in critical spaces
URL:https://talks-calendar.ista.ac.at/events/3028
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